Revisiting two strong approximation results of Dudley and Philipp

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dc.creatorBerthet, Philippe
dc.creatorMason, David M.
dc.date2006-12-22
dc.date.accessioned2026-07-07T08:08:30Z
dc.date.available2026-07-07T08:08:30Z
dc.descriptionWe demonstrate the strength of a coupling derived from a Gaussian approximation of Zaitsev (1987a) by revisiting two strong approximation results for the empirical process of Dudley and Philipp (1983), and using the coupling to derive extended and refined versions of them.
dc.descriptionPublished at http://dx.doi.org/10.1214/074921706000000824 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0612701
dc.identifierhttp://arxiv.org/abs/math/0612701
dc.identifierIMS Lecture Notes Monograph Series 2006, Vol. 51, 155-172
dc.identifierdoi:10.1214/074921706000000824
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131283
dc.subjectStatistics Theory
dc.subjectProbability
dc.subject62E17, 62E20 (Primary) 60F15 (Secondary)
dc.titleRevisiting two strong approximation results of Dudley and Philipp
dc.typetext

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